https://doi.org/10.1140/epjc/s10052-025-13938-z
Regular Article - Theoretical Physics
From the unification of conformal and fuzzy gravities with internal interactions to the SO(10) GUT and the particle physics standard model
1
Departamento de Física, Instituto Superior Técnico, Centro de Física Teórica de Partículas-CFTP, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049-001, Lisbon, Portugal
2
Physics Department, National Technical University, Zografou, 157 80, Athens, Greece
3
Instituto de Física Teórica, (UAM/CSIC), Universidad Autónoma de Madrid, 28049, Cantoblanco, Spain
4
Max-Planck Institut für Physik, Boltzmannstr. 8, 85748, Garching, Germany
5
Institut für Theoretische Physik der Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
a
grigorios.patellis@tecnico.ulisboa.pt
Received:
11
December
2024
Accepted:
16
February
2025
Published online:
21
March
2025
In the present study, the unification of the Conformal and Fuzzy Gravities with the Internal Interactions is based on the observation that the tangent space of a curved space and the space itself do not have necessarily the same dimensions. Moreover, the construction is based on the fact that the gravitational theories can be formulated in a gauge-theoretical way. In the present work we study the various consecutive breakings through which these unified theories can ultimately result into the Standard Model. We estimate the scales of the breakings in each case using one-loop RGEs.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
